Introduction to Topological Quantum Matter & Quantum Computation

Tudor Stanescu is a professor of Condensed Matter Theory at West Virginia University, USA. He received a B.S. in Physics from the University of Bucharest, Romania, in 1994 and a Ph.D. in Theoretical Physics from the University of Illinois at Urbana Champaign in 2002. He was a Postdoctoral Fellow at Rutgers University and at the University of Maryland from 2003 to 2009. He joined the Department of Physics and Astronomy at West Virginia University in Fall 2009. Prof. Stanescu's research interests encompass a variety of topics in theoretical condensed matter physics including topological insulators and superconductors, topological quantum computation, ultra-cold atom systems in optical lattices, and strongly correlated materials, such as, for example, cuprate high-temperature superconductors. His research uses a combination of analytical and numerical tools and focuses on understanding the emergence of exotic states of matter in solid state and cold atom structures, for example, topological superconducting phases that host Majorana zero modes, and on investigating the possibilities of exploiting these states as physical platforms for quantum computation.

Addressing these and other related questions, Introduction to Topological Quantum Matter & Quantum Computation provides an introduction to and a synthesis of a fascinating and rapidly expanding research field emerging at the crossroads of condensed matter physics, mathematics, and computer science.

Chapter 1: Topology and Quantum Theory. Chapter 2: Symmetry and Topology in Condensed Matter Physics. Chapter 3: Topological Insulators and Superconductors. Chapter 4: Extensions of the Non-Interacting Topological Classification. Chapter 5: Interacting Topological Phases. Chapter 6: Theories of Topological Quantum Matter. Chapter 7: Axion Electrodynamics in Topological Quantum Matter. Chapter 8: Majorana Zero Modes in Solid State Hetrostructures. Chapter 9: Topological Phases in Cold Atom Systems. Chapter 10: Elements of Quantum Information Theory. Chapter 11: Introduction to Quantum Computation. Chapter 12: Anyons and Topological Quantum Computation. Bibliography. Index.